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Finding the Fourth Proportional to 212.96, 293.83 and 130.14

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Solution

The fourth proportional to 212.96, 293.83 and 130.14 is: 179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.96 : 293.83 = 130.14 : x
  2. Step 2: Convert to fraction form
    212.96/293.83 = 130.14/x
  3. Step 3: Cross multiply
    212.96x = 293.83 × 130.14
  4. Step 4: Simplify right side
    212.96x = 38,238.71
  5. Step 5: Solve for x
    x = 38,238.71/212.96
  6. Step 6: Final answer
    x = 179.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.